What is the solution to the following equation?

4x^2-48x = - 144

A.) x = - 6

B.) x = 6

C.) x = - 6,36

D.) x = 6,36

The answer to your question is the letter B. x = 6

Step-by-step explanation:

Data

4x² - 48x = - 144

Process

1. - Equal to zero

4x² - 48x + 144 = 0

2. - Multiply 4 by 144

4 x 144 = 576

3. - Find the prime factors of 576

576 2

288 2

144 2

72 2

36 2

18 2

9 3

3 3

1

4. - Find two numbers that added gives - 48,

these numbers are - 24 and - 24

5. - Write the equation using these numbers

4x² - 24x - 24x + 144 = 0

6. - Factor by grouping

4x (x - 6) - 24 (x - 6)

7. - Factor by like terms

(x - 6) (4x - 24)

8. - Find the solutions

x - 6 = 0 4x - 24 = 0

x = 6 4x = 24

x = 24/4

x = 6